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Is time spent at the gym related to age?

Is time spent at the gym related to age?. Group 4. STUDY DESIGN. Problems: For gym goers in given areas, is age related to amount of time spent at gym Approach: A frame of all gym goers would be hard if not impossible to obtain. Therefore, we will use Systematic Sampling.

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Is time spent at the gym related to age?

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  1. Is time spent at the gym related to age? Group 4

  2. STUDY DESIGN • Problems: For gym goers in given areas, is age related to amount of time spent at gym • Approach: A frame of all gym goers would be hard if not impossible to obtain. Therefore, • we will use Systematic Sampling. • Solution: First each student will find the 3 closest gyms near their house (students live in • different areas so a region of gyms will be selected) then randomly pick two of the gyms. • We will look at the time the gym is open and divide it into 2 slots “am/pm”. We will the • go each gym and find out on average how many people attend in a week divide that by 7 • to figure out N. n= 50. We will divide N/n and get our k (each students may be different). • For gym 1 (randomly decided) the student will survey when they open. For gym 2, • student will go when they are half way through the day; each time collecting data.

  3. THE DATA…..

  4. STATISTICS FOR FIRST VARIABLE (AGE) • mean – 37.218 • standard deviation – 3.86 • five-number summary – 16, 25, 33, 48.5, 71 • range – 55 • mode – 33 • outliers none (less then 10.25 and more then 83.75)

  5. HISOGRAM FOR FIRST VARIBLE (AGE) The data is skewed to the right showing a decrease in gym goers as age increases

  6. BOXPLOT FOR FIRST VARIABLE (AGE)

  7. STATISTICS FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES) • mean – 66.1835 • standard deviation – 5.19 • five-number summary – 15, 45, 60, 90, 150 • range - 135 • mode – 60 • outliers 15, 15, 20, 20 (less then 22.5 and larger then 157.5)

  8. HISOGRAM FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES) The data is not skewed in either direction nor symmetrical. However, the bin that represents 47-62 min is double any other bin.

  9. BOXPLOT FOR SECOND VARIABLE (TIME SPENT AT GYM IN MINUTES)

  10. SCATTERPLOT WITH LINE OF REGRESSION AND LINEAR COEFFICIENT

  11. ANALAYSIS • In analyzing a relation between age and time spent at the gym, we found no correlation. • Overall, data for gym goers was found to have a correlation coefficient of (r=.0258683725), much less than the critical value (.195) at .05 with 100 degrees of freedom (the largest data available on the table). • Age does not affect the amount of time spent in the gym. • We are 95% confident that a relationship exists because r*p < .05 or .195*.0001<.05 and because .0000195 is less than .05 we know the relationship exists.

  12. Things we found interesting • The data returned was in increments of 15 minutes; since we usually give time in increments of quarter hours. • The age diversity of the gym goers. • Senior gym goers work out just as long or longer then the middle-aged gym goer. • The most common answer we received was one hour. • There were a lot more people that were not willing to talk to us then expected; and many did not want to give us their age as well. • We would be interested to see what would happen if we could actually record beginning and ending times for workouts and see if the workout times would actually be an hour, or if the time would include travel to the gym, working out, showering, and other activities in preparation and finishing off of the workout as well; along with if people over estimate how long they will workout.

  13. PARTICIPATION • STUDY DESIGN (2) SARA LARSEN • DATA SLIDES (3-5) MATT BASSETT • FIRST VARIABLE STATS (6) SARA LARSEN • CHARTS FOR FIRST VARIABLE (7-8) JAIME ELSEY • SECOND VARIABLE STATS (9) SARA LARSEN • CHARTS FOR SECOND VARIABLE (10-11) SARA LARSEN • SCATTERPLOT (12) WILLIAM TEAGUE • ANALYSIS (13) WILLIAM AND MATT • INTERESTING THINGS (14) SARA, MATTHEW, & WILLIAM

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